Experimental vs. theoretical probability: john is about to roll a six-sided, fair number cube 60 times. he wants to predict how many times the cube will land on an even number. he makes a prediction of 20 times. is it a good prediction? what would your prediction be based on theoretical probability?

Hello Nitagomez,

To start the numbers 1 through 6 are on a number cube.
Half of them are even, 2, 4, and 6.

So it makes sense that when you roll the cube 60 times, you should have 30 even numbers. The theoretical probability is 30.

A predication of 20 is 10 less than the expected value of 30.
10 out of 30 is 33%.

The predication is off by 33%, I would argue that it is not a very good prediction.

I hope this helps, Good luck!
MrEquation

What is your question?